314042616 has 64 divisors (see below), whose sum is σ = 893642400. Its totient is φ = 102124800.

The previous prime is 314042611. The next prime is 314042623. The reversal of 314042616 is 616240413.

314042616 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 42 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 314042616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314042611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8875 + ... + 26586.

Almost surely, 2^314042616 is an apocalyptic number.

314042616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314042616 is an abundant number, since it is smaller than the sum of its proper divisors (579599784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314042616 is a wasteful number, since it uses less digits than its factorization.

314042616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35517 (or 35507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314042616 is about 17721.2475858784. The cubic root of 314042616 is about 679.7191862422.

The spelling of 314042616 in words is "three hundred fourteen million, forty-two thousand, six hundred sixteen".